An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series

@article{Krattenthaler2003AnIO,
  title={An identity of Andrews, multiple integrals, and very-well-poised hypergeometric series},
  author={Christian Krattenthaler and Tanguy Rivoal},
  journal={The Ramanujan Journal},
  year={2003},
  volume={13},
  pages={203-219}
}
We give a new proof of a theorem of Zudilin that equates a very-well-poised hypergeometric series and a particular multiple integral. This integral generalizes integrals of Vasilenko and Vasilyev which were proposed as tools in the study of the arithmetic behaviour of values of the Riemann zeta function at integers. Our proof is based on limiting cases of a basic hypergeometric identity of Andrews. 
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